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Finding the Fourth Proportional to 931.88, 1,285.30 and 616.58

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Solution

The fourth proportional to 931.88, 1,285.30 and 616.58 is: 850.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.88 : 1,285.30 = 616.58 : x
  2. Step 2: Convert to fraction form
    931.88/1,285.30 = 616.58/x
  3. Step 3: Cross multiply
    931.88x = 1,285.30 × 616.58
  4. Step 4: Simplify right side
    931.88x = 792,490.27
  5. Step 5: Solve for x
    x = 792,490.27/931.88
  6. Step 6: Final answer
    x = 850.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.